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Pie
3 years ago
15

Point A(-2,4) Point B (3,-6) a. Calculate the perpendicular gradient of the line AB

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

1/2

Step-by-step explanation:

-6-4 / 3-(-2) = -2

-2(m2) = -1

m2= 1/2

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What is the square root of 12 plus the square root of 27?
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The answer is 8.67 I think
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John leaves his home. He travels 5 blocks south and three blocks west. As the crow flies, how far is John from his home?
riadik2000 [5.3K]

Answer:

5.83 blocks away from his home

Step-by-step explanation:

If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.

The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G

G^2 = 5^2 + 3^2

G^2 = 25 + 9

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G = √34

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3 0
3 years ago
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7 0
3 years ago
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Ang
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

m∠PQR = 3x-5

m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

4 0
3 years ago
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